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Mamont248 [21]
3 years ago
14

Identify the equation of the graph

Mathematics
1 answer:
alekssr [168]3 years ago
6 0
I will explain how to get the solution using the text and look at the image as well as I’m using it to explain my process.

Step 1: Write the equation for slope-intercept form which is y=mx + b

Step 2: FIND SLOPE. M means slope in mathematics and the formula for that is rise divided by run. Which actually means y2 - y 1 divided by x2 - x1. If you are wondering what those are, they are points in the graph. It doesn’t matter which point you choose but you’ll see which ones I chose in the image. Follow the steps there

Step 3: FIND Y INTERCEPT: this step is easy because you are provided with a graph so you don’t have to find the y intercept algebraically. The y intercept is where the graph touch’s the y axis. In your case, it is at -4.

Step 4: CREATE THE EQUATION.
Refer to step one and re write the equation for slope intercept form: y=mx + b. Replace m with -2 and b with -4. So your equation looks like this: y= -2x -4

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The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

brainly.com/question/6422517

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2 years ago
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3 years ago
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first side is 7cm

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3 years ago
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